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An 8kg soccer ball starts at rest and is kicked 31.5 meters until it reaches a final velocity of 21m/s in 3 seconds. Assuming that the soccer ball was kicked with a force of 56N (and ignoring any outside friction or air resistance forces), what is the power with which the soccer ball moved?

Respuesta :

Answer:

The power with which the soccer ball moved is 588 W .

Explanation:

Given :

Mass of soccer ball , m = 8 kg .

Distance moved , d = 31.5 m .

Final velocity , v = 21 m/s .

Time taken , t = 3 s .

Force applied , F = 56 N .

We know , power is given by :

[tex]P=\dfrac{Work \ Done }{Time \ Taken }[/tex]      ......( 1 )

Now , work done is given by :

[tex]W = Fd = 56\times 31.5\ J\\\\W=1764\ J[/tex]

Now , putting value of P and t in equation 1 .

We get :

[tex]P=\dfrac{1764}{3}\ W\\\\P=588\ W[/tex]

Therefore , this is the required solution .

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